On nonexistence of global solutions of a quasilinear riser equation

被引：1

作者：

Esquivel-Avila, Jorge A. ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana, Dept Ciencias Basicas Anal Matemat & Aplicac, Ave San Pablo 180, Mexico City 02200, DF, Mexico

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2018年 / 9卷 / 03期

关键词：

Quasilinear wave equation; blow-up; high energies; marine riser;

D O I：

10.1515/apam-2017-0048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a quasilinear equation of fourth order that models the mechanical vibrations of a marine riser. We study the nonexistence of global solutions for any real value of the initial energy. To this end, we construct a new invariant set and improve previous results.

引用

页码：195 / 203

页数：9

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